The limits of integration of p in spherical coordinates to find the vohume of the region bounded below by the cone z = /4x² + 4y², above by the plane z = 2 are 0εps3secφ Osps2secy Ospssecy None of these

Q: Use cylindrical coordinates to find the volume of the solid that is inside the surface x2+ y2+z2=20…

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Q: Let E be the solid inside the cylinder x2 + y2 = 9, above the plane z = 1 and below the paraboloid z…

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Q: 2 Convert this ntegral From rectangular Coordinte to Spherical Coordina tes (Donot eval vate the…

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Q: 43. 2+√4-x²-y² BS 2²/ -2 -√√4-x 2-√4-x²-y2 (x² + y² + z²)³/2 dz dy dx

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Q: Three curves have been drawn polar coordinate, circle, (r= 5), circle; (r=3 sin (0), use double…

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Q: √10 ✓ 10-x² "ANTO NO If the integral √20-x²-y² √x²+y² ·b₁ b₂ pb3 [Cr f(x,y,z) dzdydx is rewritten in…

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Q: 3/ Math

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Q: Determine the centroidal x-coordinate (in inches, round=off to 2 decimal places) of the plane region…

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Q: Could you explain why r goes form 0 to 7cos theta please

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Given, x2+y2+z2=4 and cone z=x2+y2 In spherical coordinate, x=ρsinϕcosθ,  y=ρsinϕsinθ  and z=ρcosϕ…

Q: Ise spherical coordinates to find the volume of the region bounded by the sphere p= 20 cos p and the…

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Q: Let E be the solid enclosed by the sphere æ² + y² + (z – 3)² = 9 above the plane z = 2. The volume…

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Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) /x² + y² + z² where E is the…

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Q: 1olud Evaluate dv Whese sü the 2ィz°-9,4z0 2. hemiphere

A: To evaluate : The triple integrals ∭ y2 dV , where S is the solid hemisphere, x2+y2+z2≤9 , y≥0 in…

Q: Use spherical coordinates to evaluate and the sphere x² + y² + z² = 4. [] [² z dV, where E is the…

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Q: b) F = (2r – 32?)i + zj + (y - 6rz)k. i) Evaluate div F. ii) Evaluate curl F. iii) Evaluate the…

A: (b) Given vector field is F=(2x-3z2) i+z j+(y-6xz) k. To Evaluate: (i) divF (ii) curlF (iii) ∫γF·ds,…

Q: The region R is the interior of the tilted ellipse given by x ry + y = 2, shown below. Sketch the…

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Q: Use polar coordinates to find the volume of the given solid. Enclosed by the hyperboloid -x² - y2 +…

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Q: Let C be the closed contour (blue) given in the below figure. -1 1 x -2i+3e2z dz? (z+7i)8 Which of…

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Q: (a) Let D be the region enclosed by the surfaces z =- |4–x² – y² and z= +y² . Determine zdv by using…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Evaluate TI Vx + y2 dv, where E is the region that lies inside the cylinder x2 + y? = 1 and between…

A: In this question, we have to evaluate the triple integral by using cylindrical coordinates.

Q: O Find the area of the sun face abare the xy- plane Using polar coordinates, O Find the vohume of…

A: Consider a surface . Then the surface area of this surface is given by the double integral where…

Q: Find the area bounded by y² = 4a(y-x), y² = 2a(x+2y-3a) and the x-axis

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Sketch the figure.

Q: Use polar coordinates to evaluate the double integral V1 1-z2 dy dæ. (1+z² + y?)²

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Q: Evaluate ?dv where sü the Aolid 2. 2. hemiphere

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